Finite Group Databasebeta

← Group #95006

Character table — Group #95006

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222444444444444444444444444444444444444224444444444888888888888888888888888888888888888888888888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i
χ611111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii
χ711111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111iiii−i−i−i−i−i−i−i−iiiii
χ811111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−i−i−i−iiiiiiiii−i−i−i−i
χ911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-111-1-1ii−i−iii−i−i
χ1011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111-1-111−i−iii−i−iii
χ1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-111-1-1−i−iii−i−iii
χ1211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-111ii−i−iii−i−i
χ1311111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiii−i−i−i−iii-1-11111-1-1
χ1411111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii−i−iiiii−i−i11-1-1-1-111
χ1511111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ1611111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ17111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1-11-11-11-1i−ii−ii−ii−i
χ18111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-11-11-11-11−ii−ii−ii−ii
χ19111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1-11-11-11-1−ii−ii−ii−ii
χ20111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-11-11-11-11i−ii−ii−ii−i
χ21111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiii−ii−i−ii−ii-11-111-11-1
χ22111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii−ii−iii−ii−i1-11-1-11-11
χ23111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−ii−ii−i−ii−ii1-11-1-11-11
χ24111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−ii−iii−ii−i-11-111-11-1
χ25111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-111-1-111-1-111-1-11
χ26111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-111-1-111-1-111-1-111-1
χ27111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-111-1-111-1
χ28111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-11-1-111-1-11
χ29111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1i−i−ii−iii−ii−i−ii−iii−i
χ30111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−iii−ii−i−ii
χ31111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111i−i−ii−iii−i−iii−ii−i−ii
χ32111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−iii−ii−i−iii−i−ii−iii−i
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χ3422222222-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-22222000000000000000000000000000000000000000000000000
χ3522222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-222-2-2222222-2-222-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ3622222222-2-2-2-22222-2-2-2-2-2-2-2-22222-2-2-2-2-2-2222222-2-222-2-2222222-2-2-2-2000000000000000000000000000000000000000000000000
χ3722222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2-2-22222-2-222000000000000000000000000000000000000000000000000
χ3822222222-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2222222-2-2222222-2-2-2-222-2-2000000000000000000000000000000000000000000000000
χ3922222222-2-2-2-2-2-2-2-22222-2-2-2-2222222222222-2-2-2-22222-2-2-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ4022222222-2-2-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-22222-2-222-2-222000000000000000000000000000000000000000000000000
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χ442222-2-2-2-20000000022-2-2000022-2-222-2-2−2i2i−2i2i0000−2i2i−2i2i0000−2i2i00−2i2i00−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i222−2−222−2−222−2−222−2−20000000000000000
χ452222-2-2-2-20000000022-2-20000-2-222-2-2222i−2i−2i2i00002i−2i−2i2i00002i−2i00−2i2i0022−2−222−2−2−2−222−2−222−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i20000000000000000
χ462222-2-2-2-20000000022-2-20000-2-222-2-2222i−2i−2i2i00002i−2i−2i2i00002i−2i00−2i2i00−2−222−2−22222−2−222−2−2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i20000000000000000
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χ492222-2-2-2-200000000-2-222000022-2-2-2-2222i−2i−2i2i00002i−2i−2i2i0000−2i2i002i−2i0022−2−2−2−22222−2−2−2−222−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ502222-2-2-2-200000000-2-222000022-2-2-2-2222i−2i−2i2i00002i−2i−2i2i0000−2i2i002i−2i00−2−22222−2−2−2−22222−2−2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ512222-2-2-2-200000000-2-222000022-2-2-2-222−2i2i2i−2i0000−2i2i2i−2i00002i−2i00−2i2i0022−2−2−2−22222−2−2−2−222i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i20000000000000000
χ522222-2-2-2-200000000-2-222000022-2-2-2-222−2i2i2i−2i0000−2i2i2i−2i00002i−2i00−2i2i00−2−22222−2−2−2−22222−2−2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000
χ532222-2-2-2-200000000-2-2220000-2-22222-2-22i−2i2i−2i00002i−2i2i−2i0000−2i2i00−2i2i00i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i222−2−2−2−222−2−22222−2−20000000000000000
χ542222-2-2-2-200000000-2-2220000-2-22222-2-22i−2i2i−2i00002i−2i2i−2i0000−2i2i00−2i2i00−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−2−22222−2−222−2−2−2−2220000000000000000
χ552222-2-2-2-200000000-2-2220000-2-22222-2-2−2i2i−2i2i0000−2i2i−2i2i00002i−2i002i−2i00i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2−2−22222−2−222−2−2−2−2220000000000000000
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χ5722-2-222-2-2000022-2-2000022-2-200002-22-222220000-2-2-2-22-200002-200002−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−20000000000000000
χ5822-2-222-2-2000022-2-2000022-2-200002-22-222220000-2-2-2-22-200002-20000−22−22−22−22−22−22−22−22−22−22−22−22−22−22−22−220000000000000000
χ5922-2-222-2-2000022-2-2000022-2-200002-22-2-2-2-2-200002222-220000-2200002−22−22−22−22−22−22−22−2−22−22−22−22−22−22−22−220000000000000000
χ6022-2-222-2-2000022-2-2000022-2-200002-22-2-2-2-2-200002222-220000-220000−22−22−22−22−22−22−22−222−22−22−22−22−22−22−22−20000000000000000
χ6122-2-222-2-2000022-2-20000-2-2220000-22-2222-2-20000-2-2222-20000-220000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6222-2-222-2-2000022-2-20000-2-2220000-22-2222-2-20000-2-2222-20000-220000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ6322-2-222-2-2000022-2-20000-2-2220000-22-22-2-222000022-2-2-2200002-20000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ6422-2-222-2-2000022-2-20000-2-2220000-22-22-2-222000022-2-2-2200002-20000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6522-2-222-2-20000-2-222000022-2-20000-22-2222-2-20000-2-222-2200002-20000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ6622-2-222-2-20000-2-222000022-2-20000-22-2222-2-20000-2-222-2200002-20000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6722-2-222-2-20000-2-222000022-2-20000-22-22-2-222000022-2-22-20000-220000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6822-2-222-2-20000-2-222000022-2-20000-22-22-2-222000022-2-22-20000-220000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ6922-2-222-2-20000-2-2220000-2-22200002-22-222220000-2-2-2-2-220000-2200002−22−2−22−22−22−222−22−22−22−2−22−22−22−222−22−20000000000000000
χ7022-2-222-2-20000-2-2220000-2-22200002-22-222220000-2-2-2-2-220000-220000−22−222−22−22−22−2−22−22−22−222−22−22−22−2−22−220000000000000000
χ7122-2-222-2-20000-2-2220000-2-22200002-22-2-2-2-2-2000022222-200002-200002−22−2−22−22−22−222−22−2−22−222−22−22−22−2−22−220000000000000000
χ7222-2-222-2-20000-2-2220000-2-22200002-22-2-2-2-2-2000022222-200002-20000−22−222−22−22−22−2−22−222−22−2−22−22−22−222−22−20000000000000000
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χ7522-2-2-2-22222-2-200000000000000002-2-22−2i2i−2i2i22-2-22i−2i2i−2i00−2i2i000000−2i2i00002i−2i−2i2i2i−2i−2i2i00000000-222-2-222-200000000000000000000
χ7622-2-2-2-22222-2-200000000000000002-2-22−2i2i−2i2i22-2-22i−2i2i−2i00−2i2i000000−2i2i0000−2i2i2i−2i−2i2i2i−2i000000002-2-222-2-2200000000000000000000
χ7722-2-2-2-22222-2-20000000000000000-222-22i−2i−2i2i-2-222−2i2i2i−2i002i−2i000000−2i2i00002-2-22-222-200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
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χ8022-2-2-2-22222-2-20000000000000000-222-2−2i2i2i−2i-2-2222i−2i−2i2i00−2i2i0000002i−2i0000-222-22-2-2200000000−2i2i2i−2i2i−2i−2i2i00000000000000000000
χ8122-2-2-2-222-2-22200000000000000002-2-222i−2i2i−2i-2-222−2i2i−2i2i00−2i2i000000−2i2i2i−2i−2i2i000000002i−2i−2i2i2-2-22000000002-2-220000000000000000
χ8222-2-2-2-222-2-22200000000000000002-2-222i−2i2i−2i-2-222−2i2i−2i2i00−2i2i000000−2i2i−2i2i2i−2i00000000−2i2i2i−2i-222-200000000-222-20000000000000000
χ8322-2-2-2-222-2-22200000000000000002-2-22−2i2i−2i2i-2-2222i−2i2i−2i002i−2i0000002i−2i2i−2i−2i2i000000002i−2i−2i2i-222-200000000-222-20000000000000000
χ8422-2-2-2-222-2-22200000000000000002-2-22−2i2i−2i2i-2-2222i−2i2i−2i002i−2i0000002i−2i−2i2i2i−2i00000000−2i2i2i−2i2-2-22000000002-2-220000000000000000
χ8522-2-2-2-222-2-2220000000000000000-222-22i−2i−2i2i22-2-2−2i2i2i−2i00−2i2i0000002i−2i2-2-2200000000-222-2−2i2i2i−2i000000002i−2i−2i2i0000000000000000
χ8622-2-2-2-222-2-2220000000000000000-222-22i−2i−2i2i22-2-2−2i2i2i−2i00−2i2i0000002i−2i-222-2000000002-2-222i−2i−2i2i00000000−2i2i2i−2i0000000000000000
χ8722-2-2-2-222-2-2220000000000000000-222-2−2i2i2i−2i22-2-22i−2i−2i2i002i−2i000000−2i2i2-2-2200000000-222-22i−2i−2i2i00000000−2i2i2i−2i0000000000000000
χ8822-2-2-2-222-2-2220000000000000000-222-2−2i2i2i−2i22-2-22i−2i−2i2i002i−2i000000−2i2i-222-2000000002-2-22−2i2i2i−2i000000002i−2i−2i2i0000000000000000
χ894-44-44-44-4000000004i−4i4i−4i4-44-40000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ904-44-44-44-4000000004i−4i4i−4i-44-44000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ914-44-44-44-400000000−4i4i−4i4i4-44-4000000000000−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ924-44-44-44-400000000−4i4i−4i4i-44-440000000000004i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ934-44-4-44-444i−4i4i−4i4-44-44i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ944-44-4-44-444i−4i4i−4i-44-44−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ954-44-4-44-44−4i4i−4i4i4-44-4−4i4i4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-4-44-44−4i4i−4i4i-44-444i−4i−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-444i−4i−4i4i000000004-4-444i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444i−4i−4i4i00000000-444-4−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44−4i4i4i−4i000000004-4-44−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44−4i4i4i−4i00000000-444-44i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-400004-4-44000000004i−4i−4i4i00000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000
χ1024-4-44-444-400004-4-4400000000−4i4i4i−4i000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ1034-4-44-444-40000-444-4000000004i−4i−4i4i000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000
χ1044-4-44-444-40000-444-400000000−4i4i4i−4i00000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).